Question

under what condition is the magnitude of average velocity of an object equal to its average speed

Answer 1

if it happens in straight liner displacement or circuler motion

Answer 2

here we go..:
velocity is the displacement done in certain displacement with respect to time.
speed is the distance done in certain distance with respect to time.
  Hence, the condition under which magnitude of average velocity of an object equal to its average speed will be when the displacement and distance made by the object are equal.

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